Question

Which of the following represents the measures of all angles coterminal with a 418° angle?


360 + 58n, for any whole number n
58 + 360n, for any integer n
58 + 360n, for any whole number n
360 + 58n, for any integer n

Answer 1

the correct answer is B

Answer 2

Answer:

The correct option is 2.

Step-by-step explanation:

The given angle is

$418^{\circ}$

If we have an angle θ, where θ lies between 0 to 360°, then the co-terminal angles are defined as

$\theta+360n$

Where, n is any integer.

$418^{\circ}=58^{\circ}+360^{\circ}$

So, 58° is a  co-terminal angle of 418°. All the co-terminal angle of 418° are

$58+360n$

Where n is an integer.

Therefore option 2 is correct.